The angular velocity of wheel increases from 100 rps to 300 rps in 10 seconds. The number of revolut

Question

The angular velocity of wheel increases from 100 rps to 300 rps in 10 seconds. The number of revolution made during that time is\

Professor PC Thomas Classes · Answer

B) Assuming constant angular acceleration\ $\alpha=\frac{2 \pi 	imes 300-2 \pi 	imes 100}{19}=\frac{2 \pi 	imes 200}{10}=40 \pi$ radian $/ \mathrm{s}^{2}$\ $\omega_{\mathrm{f}}^{2}-\omega_{\mathrm{i}}^{2}=2 \alpha . 	heta \Rightarrow 	heta=\frac{4 \pi^{2}(90000-10000)}{2 	imes 2 \pi 	imes 20}$\ $	heta=\frac{2 \pi(80000)}{40}=2 \pi 	imes 2000$\ $	herefore$ Total number of revolutions $=2000$.\